This book deals with the global qualitative behaviour of flows and diffeomorphisms. It presents a systematic study of the fundamental theory and method of dynamical systems, from local behaviour near a critical (fixed) point or periodic orbit to the global, such as global structural stability, bifurcations and chaos. It emphasizes the global non-hyperbolicity and introduces some new results obtained by Chinese mathematicians which may not be widely known.
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"... a clear and easy-to-read introduction to dynamical systems in which one can find many definitions, much information and also some important proofs." Robert Roussarie Mathematical Reviews "The style of the book is brief and compact, and the selected materials are lucid and refined. Each topic is stated clearly from the simple to the profound. This book can serve both as an easy-reading introduction to the study field of dynamical systems for the beginner and as a valuable reference for the specialists. Huang Qiyu Mathematics Abstracts
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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In the theory of dynamical systems we are studying the process that involves with time. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Closing Problem New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
In the theory of dynamical systems we are studying the process that involves with time. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Closing Problem New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 26
books:
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cites this book:
- Differential Topology by Victor Guillemin in Back Matter
- Differential Equations (2nd Edition) by John Polking in Back Matter
- Qualitative Theory of Differentiable Dynamical Systems by Liao Shantao in Back Matter
- Study of Dynamical Systems (Advanced Series in Dynamical Systems) by Nobuo Aoki in Front Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
See all 26 books this book cites
- Wissenschaft zwischen Qualitas und Quantitas (History of mathematics) (German Edition) by Erwin Neuenschwander in Back Matter
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